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von William Dunham

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.“It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

von Nigel Warburton

For readers of E. H. Gombrich’s A Little History of the World, an equally irresistible volume that brings history’s greatest philosophers to life“A primer in human existence: philosophy has rarely seemed so lucid, so important, so worth doing and so easy to enter into. . . . A wonderful introduction for anyone who’s ever felt curious about almost anything.”—Sarah Bakewell, author of How To Live: A Life of Montaigne in One Question and Twenty Attempts at an AnswerPhilosophy begins with questions about the nature of reality and how we should live. These were the concerns of Socrates, who spent his days in the ancient Athenian marketplace asking awkward questions, disconcerting the people he met by showing them how little they genuinely understood. This engaging book introduces the great thinkers in Western philosophy and explores their most compelling ideas about the world and how best to live in it.In forty brief chapters, Nigel Warburton guides us on a chronological tour of the major ideas in the history of philosophy. He provides interesting and often quirky stories of the lives and deaths of thought-provoking philosophers from Socrates, who chose to die by hemlock poisoning rather than live on without the freedom to think for himself, to Peter Singer, who asks the disquieting philosophical and ethical questions that haunt our own times.Warburton not only makes philosophy accessible, he offers inspiration to think, argue, reason, and ask in the tradition of Socrates. A Little History of Philosophy presents the grand sweep of humanity’s search for philosophical understanding and invites all to join in the discussion.

von Larry Wasserman

Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data. 

von Norman Melchert

Now in its fifth edition, this historically organized introductory text treats philosophy as a dramatic and continuous story--a conversation about humankind's deepest and most persistent concerns. Tracing the exchange of ideas between history's key philosophers, The Great Conversation: A Historical Introduction to Philosophy, Fifth Edition, demonstrates that while constructing an argument or making a claim, one philosopher almost always has others in mind. The book addresses the fundamental questions of human life: Who are we? What can we know? How should we live? and What sort of reality do we inhabit?The fifth edition retains the distinctive feature of previous editions: author Norman Melchert provides a generous selection of excerpts from major philosophical works and makes them more easily understandable to students with his lucid and engaging explanations. Ranging from the Pre-Socratics to Derrida and Quine, the selections are organized historically and include four complete works: Plato's Euthyphro, Apology, and Crito, and Descartes' Meditations on First Philosophy. The author's commentary offers a rich intellectual and cultural context for the philosophical ideas conveyed in the excerpts. Extensive cross-referencing shows students how philosophers respond appreciatively or critically to the thoughts of other philosophers. The text is enhanced by two types of exercises--"Basic Questions" and "For Further Thought"--and more than sixty illustrations.New to the Fifth Edition:* A new chapter (25) on Simone de Beauvoir and her contributions to philosophy* New material on Buddhist, Muslim, and Jewish thinkers, including profiles of the Buddha, Avicenna (Ibn Sina), Averroës (Ibn Rushd), and Maimonides (Moses ben Maimon)* A new profile of Jean-Jacques Rousseau* Improved translations of several of Plato's works, including Protagoras, Gorgias, Phaedo, Symposium,Meno, and the Republic* Review questions that are now dispersed throughout the chapters (instead of at chapter ends) to follow relevant passages and facilitate classroom discussion* Thirteen new images, including seven explanatory cartoons that help students understand key concepts* A revised Instructor's Manual and Test Bank--available both on CD and in a printed version--containing essential points, teaching suggestions, and multiple-choice, short-answer, and essay exam questionsThe Great Conversation, Fifth Edition, is also available in two paperback volumes to suit your course needs. Volume I: Pre-Socratics through Descartes includes chapters 1-13 of the combined volume, while Volume II: Descartes through Derrida and Quine includes chapters 12-26.

von Gilles Deleuze, Felix Guattari

Called by many France's foremost philosopher, Gilles Deleuze is one of the leading thinkers in the Western World. His acclaimed works and celebrated collaborations with Félix Guattari have established him as a seminal figure in the fields of literary criticism and philosophy. The long-awaited publication of What Is Philosophy? in English marks the culmination of Deleuze's career.Deleuze and Guattari differentiate between philosophy, science, and the arts, seeing as means of confronting chaos, and challenge the common view that philosophy is an extension of logic. The authors also discuss the similarities and distinctions between creative and philosophical writing. Fresh anecdotes from the history of philosophy illuminate the book, along with engaging discussions of composers, painters, writers, and architects.A milestone in Deleuze's collaboration with Guattari, What Is Philosophy? brings a new perspective to Deleuze's studies of cinema, painting, and music, while setting a brilliant capstone upon his work.

von Angela Potochnik

Introduction : doing science in a complex world. Science by humans ; Science in a complex world ; The payoff : idealizations and many aims -- Complex causality and simplified representation. Causal patterns in the face of complexity ; Causal patterns ; Causal complexity ; Simplification by idealization ; Reasons to idealize ; Idealizations' representational role ; Rampant and unchecked idealization -- The diversity of scientific projects. Broad patterns : modeling cooperation ; A specific phenomenon : variation in human aggression ; Predictions and idealizations in the physical sciences ; Surveying the diversity -- Science isn't after the truth. The aims of science ; Understanding as science's epistemic aim ; Separate pursuit of science's aims ; Understanding, truth, and knowledge ; The nature of scientific understanding ; The role of truth and scientific knowledge -- Causal pattern explanations. Explanation, communication, and understanding ; An account of scientific explanation ; The scope of causal patterns ; The crucial role of the audience ; Adequate explanations -- Levels and fields of science. Levels in philosophy and science ; Going without levels ; Against hierarchy ; Prizing apart forms of stratification ; The fields of science and how they relate -- Scientific pluralism and its limits. The entrenchment of social values ; How science doesn't inform metaphysics ; Scientific progress.

von Kurt Gödel, S. Feferman

Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. L All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.

von Kurt Gödel

Kurt Gödel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past.This second volume of a comprehensive edition of Gödel's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks.Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.

von Jiddu Krishnamurti

What You Are Is Much More Important Than What You Should Be. You Can Understand What Is , But You Cannot Understand What Should Be. The Essential Message Of J. Krishnamurti, Revered Philosopher And Spiritual Teacher, Challenges The Limits Of Ordinary Thought. In Talks To Audiences Worldwide He Pointed Out To Listeners The Tangled Net Of Ideas, Organizational Beliefs And Psychological Mind-Sets In Which Humanity Is Caught, And That Truth The Understanding Of What Is Not Effort, Is The Key Factor Of Human Liberation. Commentaries On Living, A Three-Volume Series, Records Krishnamurti S Meetings With Individual Seekers Of Truth From All Walks Of Life. In These Dialogues, He Reveals The Thought-Centred Roots Of Human Sorrow And Comments On The Struggles And Issues Common To Those Who Strive To Break The Boundaries Of Personality And Self-Limitation. In Over Fifty Essays In Each Volume, Krishnamurti Explores Topics As Diverse As: Knowledge Truth Fulfilment Meditation Love Effort Seeking Life And Death Education The Series Invites Readers To Take A Voyage On An Unchartered Sea With Krishnamurti In His Exploration Of The Conditioning Of The Mind And Its Freedom.

von Irving M. Copi, Carl Cohen

Dedicated to the memory of Irving M. Copi, the twelfth edition of "Introduction to Logic" retains its breadth of coverage, while breaking new ground with a compelling new design and inclusion of new pedagogic features to help students in their study of logic. This new edition goes further than any previous edition--or competing logic text--in assisting students with their mastery of logic! NEW to "Introduction to Logic, " Twelfth Edition! New material--Additional coverage of conditional proofs; new category for fallacies of defective induction; separated treatment of classic syllogistic logic and modern symbolic logic "VISUAL LOGIC" feature--Clear and vivid illustrations provided to clarify challenging logic topics Marginal definitions--Helps students define terms while reading Summary tables--Over 30 "OVERVIEWS" to help students review material at a glance New student supplemet--Available to package with new texts, "LogicNotes with Practice Problems" provides a Notebook with numerous practice problems and solutions (Package ISBN: 013-163729-0) "e"Logic--Prentice Hall's "new" CD-ROM-based logic tutorial Prentice Hall has revised its tutorial to provide students with over 800 exercises, drawn from the text, plus the tools students need to solve logic problems. Students can work problems, including diagramming arguments, creating Venn diagrams, constructing truth tables. And now students can build and check proofs! See the walk-through in this book or visit www.prenhall.com/philosophy for more information!